Gujarati
Hindi
11.Thermodynamics
medium

Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, are compressed till their volume becomes half the initial volume.

A

If the compression is adiabatic then monoatomic gas will have maximum final pressure.

B

If the compression is adiabatic then triatomic gas will have maximum final pressure.

C

If the compression is adiabatic then their final pressure will be same.

D

If the compression is isothermal then their final pressure will be different.

Solution

For an adiabatic process,

$P V^{\gamma}=$ constant

or

$\frac{P_{1}}{P_{2}}=\left(\frac{V_{2}}{V_{1}}\right)^{\gamma}$

or

$P_{2}=2^{\gamma} P_{1}$

Now, for a monoatomic gas, the value of $\gamma$ is the highest

Thus, for the same change in volume, the monoatomic gas will have the maximum pressure.

Standard 11
Physics

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